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Finding the Fourth Proportional to 66.56, 91.64 and 58.64

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Solution

The fourth proportional to 66.56, 91.64 and 58.64 is: 80.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.56 : 91.64 = 58.64 : x
  2. Step 2: Convert to fraction form
    66.56/91.64 = 58.64/x
  3. Step 3: Cross multiply
    66.56x = 91.64 × 58.64
  4. Step 4: Simplify right side
    66.56x = 5,373.77
  5. Step 5: Solve for x
    x = 5,373.77/66.56
  6. Step 6: Final answer
    x = 80.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.